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5743127064 = 233536174017
BaseRepresentation
bin1010101100101000…
…10010101000011000
3112211020201002020210
411112110102220120
543230220031224
62345515051120
7262214526453
oct52624225030
915736632223
105743127064
112487933404
121143440aa0
13706abac4c
143c6a6449a
152392e7429
hex156512a18

5743127064 has 64 divisors (see below), whose sum is σ = 14868735840. Its totient is φ = 1847439360.

The previous prime is 5743127063. The next prime is 5743127099. The reversal of 5743127064 is 4607213475.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5743127063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40584 + ... + 114600.

Almost surely, 25743127064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5743127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434367920).

5743127064 is an abundant number, since it is smaller than the sum of its proper divisors (9125608776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5743127064 is a wasteful number, since it uses less digits than its factorization.

5743127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74140 (or 74136 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 5743127064 is about 75783.4220921700. The cubic root of 5743127064 is about 1790.8098521164.

The spelling of 5743127064 in words is "five billion, seven hundred forty-three million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 53 61 106 122 159 183 212 244 318 366 424 488 636 732 1272 1464 3233 6466 9699 12932 19398 25864 38796 74017 77592 148034 222051 296068 444102 592136 888204 1776408 3922901 4515037 7845802 9030074 11768703 13545111 15691604 18060148 23537406 27090222 31383208 36120296 47074812 54180444 94149624 108360888 239296961 478593922 717890883 957187844 1435781766 1914375688 2871563532 5743127064